Search a number
-
+
3893364 = 2232831303
BaseRepresentation
bin1110110110100001110100
321022210200200
432312201310
51444041424
6215240500
745043626
oct16664164
97283620
103893364
11221a162
121379130
13a64187
14734c16
1551d8c9
hex3b6874

3893364 has 36 divisors (see below), whose sum is σ = 9967776. Its totient is φ = 1281168.

The previous prime is 3893363. The next prime is 3893369. The reversal of 3893364 is 4633983.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3893363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2337 + ... + 3639.

Almost surely, 23893364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3893364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983888).

3893364 is an abundant number, since it is smaller than the sum of its proper divisors (6074412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3893364 is a wasteful number, since it uses less digits than its factorization.

3893364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1391 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3893364 is about 1973.1609158910. The cubic root of 3893364 is about 157.3167634725.

The spelling of 3893364 in words is "three million, eight hundred ninety-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1303 1494 2606 2988 3909 5212 7818 11727 15636 23454 46908 108149 216298 324447 432596 648894 973341 1297788 1946682 3893364